Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending |
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Authors: | Ciprian D Coman Andrew P Bassom |
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Affiliation: | 1. Department of Mathematics, University of Glasgow, University Gardens, Glasgow, G12 8QW, Scotland, UK 2. School of Mathematics and Statistics, University of Western Australia, Crawley, 6009, Australia
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Abstract: | Singular perturbation techniques are used to investigate the linear eigenvalue problem that describes the partial wrinkling of a pre-stressed rectangular thin elastic plate under in-plane bending. The dependence of the critical load and the wavelength of the localised oscillatory pattern on the non-dimensional bending rigidity of the plate is captured with a higher-order boundary-layer analysis. Comparisons with direct numerical simulations of the original eigenproblem confirm the accuracy and versatility of the asymptotic technique explored in this work. |
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